Advanced Hedge Ratio Calculator

Calculator Inputs

Exposure Value

Total risk value for the engineering exposure.

Exposure Quantity

Units, barrels, tons, or other physical quantity.

Futures Contract Size

Quantity covered by one futures contract.

Current Spot Price

Current Futures Price

Expected Basis

Basis = spot price minus futures price.

Spot Volatility %

Futures Volatility %

Correlation

Target Hedge %

Confidence Level %

Time Horizon Days

Hedge Direction

Contract Rounding

Use Custom Hedge Ratio

Custom Hedge Ratio

Used only when custom ratio is enabled.

Plotly Graph

This chart compares estimated hedge effectiveness and residual risk across several hedge ratio choices.

Formula Used

Minimum-Variance Hedge Ratio

h* = ρ × (σ_s / σ_f)

Recommended Futures Contracts

N* = h × (Q_exposure / Q_contract)

Where
ρ = correlation between spot and futures returns
σ_s = spot price volatility
σ_f = futures price volatility
Q_exposure = exposure quantity
Q_contract = quantity per futures contract

This method minimizes variance in the hedged position. It is commonly used for fuel, metals, commodities, and project procurement exposures. The calculator also estimates hedge effectiveness and Value at Risk reduction using your selected horizon and confidence level.

How to Use This Calculator

Enter the size of your engineering exposure and its physical quantity.
Add spot price, futures price, expected basis, and contract size.
Input spot volatility, futures volatility, and correlation.
Select your hedge direction, target hedge percentage, and rounding mode.
Choose confidence level and time horizon for risk estimates.
Submit the form to see hedge ratio, contracts, coverage, and VaR reduction.
Use the CSV or PDF buttons to save the result.

Example Data Table

Scenario	Exposure Quantity	Spot Volatility	Futures Volatility	Correlation	Contract Size	Approx Hedge Ratio
Steel Purchase Program	10,000 tons	12%	10%	0.85	1,000 tons	1.02
Jet Fuel Project	25,000 barrels	18%	16%	0.78	1,000 barrels	0.88
Copper Cable Procurement	8,000 units	14%	11%	0.81	500 units	1.03

FAQs

1. What does the hedge ratio show?

It shows how much futures exposure should offset your spot or procurement exposure. A higher ratio means more futures coverage is needed.

2. Why does correlation matter?

Correlation measures how closely spot and futures prices move together. Better correlation usually produces a more effective hedge and lower residual risk.

3. Why can the ratio be above 1?

If spot volatility exceeds futures volatility, the minimum-variance result may exceed 1. That means more futures exposure is needed per exposure unit.

4. What is basis risk?

Basis risk is the mismatch between spot and futures prices over time. Even a strong hedge can underperform if basis behavior changes unexpectedly.

5. Should I round contracts up or down?

Round up for more protection and down for less over-hedging. Nearest rounding balances both, but policy and risk tolerance should guide the choice.

6. When should I use a custom ratio?

Use a custom ratio when policy, experience, or stress testing requires a different hedge level than the statistical minimum-variance estimate.

7. Does this calculator work for engineering projects?

Yes. It is useful for projects exposed to metals, fuel, power, shipping, and other market-driven cost inputs affecting budgets.

8. Is the VaR result exact?

No. It is an estimate based on volatility, correlation, horizon, and confidence assumptions. Real market behavior may differ from the model.